GCD of 900, 912, 63, 159 Calculator

Given Input numbers are 900, 912, 63, 159

In the factoring method, we have to find the divisors of all numbers

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (900, 912, 63, 159) = 3.

Given numbers are 900, 912, 63, 159

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 63 are 3 x 3 x 7

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 900, 912, 63, 159 is 3.

Given numbers are 900, 912, 63, 159

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(900, 912) = 68400

GCD(900, 912) = ( 900 x 912 ) / 68400

= 900 / 912

= 900

Step2:

LCM(12, 63) = 252

GCD(12, 63) = ( 12 x 63 ) / 252

= 12 / 63

= 12

Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

So, Greatest Common Divisor of 900, 912, 63, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 987, 30, 481
• GCD of 381, 375, 80, 800
• GCD of 673, 474, 61, 160
• GCD of 259, 564, 81, 283
• GCD of 455, 982, 25, 755

Given numbers are 900, 912, 63, 159
The greatest common divisor of numbers 900, 912, 63, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 912, 63, 159 is 3.

1. What is the GCD of 900, 912, 63, 159?

GCD of given numbers 900, 912, 63, 159 is 3

2. How to calculate the greatest common divisor of 900, 912, 63, 159?

We can find the highest common divisor of 900, 912, 63, 159 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 912, 63, 159 i.e 3.

3. How can I use the GCD of 900, 912, 63, 159Calculator?

Out the numbers 900, 912, 63, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.